A college survey was taken to determine where students study. Of 118 students​ surveyed , 70 studied in the library ​, 57 studied in the student union ​, 21 studied in both the library and the student union .

1 answer

To solve this problem, we can use the principle of inclusion-exclusion. First, we know that the number of students who studied in either the library or the student union is:

70 + 57 = 127.

However, this counts the 21 students who studied in both the library and the student union twice. So we need to subtract this number from the total:

127 - 21 = 106.

Therefore, there are 106 students who studied in either the library or the student union, but not both.